`fq_nmod_embed_gens`

Synopsis#include <flint/fq_nmod_embed.h>

void fq_nmod_embed_gens(fq_nmod_t gen_sub, fq_nmod_t gen_sup, nmod_poly_t minpoly, const fq_nmod_ctx_t sub_ctx, const fq_nmod_ctx_t sup_ctx)

Given contexts for fields $k$ = sub_ctx of degree $m$ and $K$ = sup_ctx of degree $n$ with $m \mid n$ , computes a generator gen_sub of $k$ over $\mathbb{F}_p$ , its minimal polynomial minpoly, and a root gen_sup of minpoly in $K$ . These data define the embedding $k \to K$ that maps gen_sub to gen_sup.

Generated from the same template as fq_embed_gens, whose documentation has the details.

Cite this page

The FLINT team, “fq_nmod_embed_gens (fq_nmod_embed.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fq_nmod_embed/fq_nmod_embed_gens.html (generated 2026-11-02).

@misc{flint-doc-fq-nmod-embed-fq-nmod-embed-gens,
  author       = {{The FLINT team}},
  title        = {{fq\_nmod\_embed\_gens (fq\_nmod\_embed.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/fq_nmod_embed/fq_nmod_embed_gens.html},
  note         = {Generated 2026-11-02}
}

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